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This paper presents a novel finite-element approach for the electromagnetic modeling of superconducting coated conductors. We combine a thin-shell (TS) method to the $H$-$\phi$ formulation to avoid the meshing difficulties related to the…

Computational Physics · Physics 2022-01-12 Bruno de Sousa Alves , Valtteri Lahtinen , Marc Laforest , Frédéric Sirois

A method to create a highly homogeneous magnetic field by applying topology optimized, additively manufactured shimming elements is investigated. The topology optimization algorithm can calculate a suitable permanent and nonlinear soft…

Applied Physics · Physics 2018-04-17 C. Huber , M. Goertler , F. Bruckner , C. Abert , I. Teliban , M. Groenefeld , D. Suess

The modeling of superconducting magnetic bearing (SMB) is of great significance for predicting and optimizing its levitation performance before construction. Although lots of efforts have been made in this area, it still remains some space…

Superconductivity · Physics 2018-08-01 Loïc Quéval , Kun Liu , Wenjiao Yang , Víctor M. R. Zermeño , Guangtong Ma

The simulation of large-scale high-temperature superconducting (HTS) magnets is a computational challenge due to the multiple spatial scales involved, from the magnet to the detailed turn-to-turn geometry. To reduce the computational cost…

Accelerator Physics · Physics 2025-10-13 Louis Denis , Benoît Vanderheyden , Christophe Geuzaine

Numerical simulations of hysteretic ac losses in a tubular superconductor/paramagnet heterostructure subject to an oscillating transverse magnetic field are performed within the quasistatic approach, calling upon the COMSOL finite-element…

Superconductivity · Physics 2015-07-07 Y. A. Genenko , H. Rauh , S. Kurdi

This paper deals with the modelling of superconducting and resistive wires with a helicoidal symmetry, subjected to an external field and a transport current. Helicoidal structures are three-dimensional, and therefore yield computationally…

In this paper, we propose the Coupled Axial and Transverse currents (I) (CATI) method, as an efficient and accurate finite element approach for modelling the electric and magnetic behavior of periodic composite superconducting conductors.…

Accelerator Physics · Physics 2024-06-25 Julien Dular , Fredrik Magnus , Erik Schnaubelt , Arjan Verweij , Mariusz Wozniak

This article presents a review of the finite element method (FEM) model based on the $H$ formulation of Maxwell's equations used to calculate AC losses in high temperature superconductor (HTS) tapes, cables and windings for different…

Superconductivity · Physics 2020-04-22 Boyang Shen , Francesco Grilli , Tim Coombs

We make progress towards a 3D finite-element model for the magnetization of a high temperature superconductor (HTS): We suggest a method that takes into account demagnetisation effects and flux creep, while it neglects the effects…

The ability of stacks of superconducting tapes to trap large magnetic fields makes them ideal candidates for creating powerful permanent magnets of compact size and mass. Experimentally, several techniques are used to trap the maximum…

Superconductivity · Physics 2016-06-07 Víctor M. R. Zermeño , Algirdas Baskys , Shengnan Zou , Anup Patel , Francesco Grilli

Although the H-formulation has proven to be one of the most versatile formulations used to accurately model superconductors in the finite element method, the use of vector dependent variables in non-conducting regions leads to unnecessarily…

Superconductivity · Physics 2021-04-20 Alexandre Arsenault , Frédéric Sirois , Francesco Grilli

We extend the foil winding homogenization method to magnetic field conforming formulations. We first propose a full magnetic field foil winding formulation by analogy with magnetic flux density conforming formulations. We then introduce the…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Louis Denis , Elias Paakkunainen , Paavo Rasilo , Sebastian Schöps , Benoît Vanderheyden , Christophe Geuzaine

Mixed finite element methods are considered for a ferrofluid flow model with magnetization paralleled to the magnetic field. The ferrofluid model is a coupled system of the Maxwell equations and the incompressible Navier-Stokes equations.…

Numerical Analysis · Mathematics 2022-08-11 Yongke Wu , Xiaoping Xie

We discuss the relevance of several finite-element formulations for nonlinear systems containing high-temperature superconductors (HTS) and ferromagnetic materials (FM), in the context of a 3D motor pole model. The formulations are…

Accelerator Physics · Physics 2024-06-25 Julien Dular , Kévin Berger , Christophe Geuzaine , Benoît Vanderheyden

Shielding sensitive scientific and medical devices from the magnetic field environment is one of the promising applications of superconductors. Magnetic field concentration by superconducting magnetic lenses is the opposite phenomenon…

Computational Physics · Physics 2018-08-01 Leonid Prigozhin , Vladimir Sokolovsky

First experimental observations of the ferromagnetic shielding effect in high-Tc superconducting coated conductors were carried out. Experimental results were compared to simulations calling upon finite-element calculations based on the…

In recent years, numerical models have become popular and powerful tools to investigate the electromagnetic behavior of superconductors. One domain where this advances are most necessary is the 3D modeling of the electromagnetic behavior of…

Superconductivity · Physics 2020-01-10 M. Kapolka , V. M. R. Zermeño , S. Zou , A. Morandi , P. L. Ribani , E. Pardo , F. Grilli

Current and field profiles, and magnetization and AC losses are calculated for an array of infinitely long superconducting tapes arranged vertically in a perpendicularly applied magnetic field. Calculations are based on the critical state…

Superconductivity · Physics 2007-05-23 Alvaro Sanchez , Carles Navau , Enric Pardo

The development of the high-temperature superconductors (HTS) conductors has allowed the development of diverse superconductor devices. Some of these devises, like the power generators and high-field magnets, are classified as large-scale…

Applied Physics · Physics 2020-06-04 Edgar Berrospe-Juarez , Frederic Trillaud , Victor M R Zermeno , Francesco Grilli

In conventional finite element simulations, foil windings with thin foils and with a large number of turns require many mesh elements. This renders models quickly computationally infeasible. This paper uses a homogenized foil winding model…

Computational Engineering, Finance, and Science · Computer Science 2023-11-07 Jonas Bundschuh , Yvonne Späck-Leigsnering , Herbert De Gersem
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